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Gnesinka [82]
3 years ago
8

PLEASE ANSWER QUICKLY, WITH THE ACTUAL ANSWER!

Mathematics
2 answers:
Flura [38]3 years ago
6 0

Answer:

The equation is:   4x + y + a = 0

Point (4, -3)  ⇒  x = 4  and  y = - 3

⇒ 4 · 4 - 3 + a = 0

16 - 3 +a = 0

13 + a = 0

a = -13

Ansver:   equation is:   4x + y - 13 = 0     OR     4x + y = 13

Step-by-step explanation:

GalinKa [24]3 years ago
5 0

Answer:

b

Step-by-step explanation:

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15% of Alina’s workout consisted of cardio exercise. 25% of Dane’s workout consisted of cardio exercise. Which statement must be
Arisa [49]


The correct answer is B. If Alina’s workout was 80 minutes, and Dane’s workout was 48 minutes, they spent the same amount of time on cardio exercise.

To figure this out, first find 15% of 80 and then 25% of 48.

To find 15% of 80, you can first find 10% of 80 which is 8(just move the decimal one place to the left). The remaining 5% will be half of 8 since 8 is 10%. Add both the numbers up and you will get 12. (8+4=12)

To find 25% of 48, you can divide 48 by 4. Since percent means 'out of 100', 25% is 25 of 100. 100 divided by 25 is equal to 4. So, 48 divided by 4 is equal to 12.

So, the final answer is B. They both equal to 12.

Hope it helps :)

6 0
3 years ago
3x + 7 - x + 2 A.2x + 9 B.2x + 5 C.4x + 9 D.4x - 5
xz_007 [3.2K]

Answer:

A

Step-by-step explanation:

3x + 7 - x + 2 combine like terms

3x - x + 7 + 2

2x + 9

Option A

4 0
3 years ago
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a bowl of soup holds 7 ounces. If a spoonful holds 1/6 ounce, how many spoonfuls are in 3 bowls of soup? Tell the operation and
Arlecino [84]
There will be 126 spoonful's

hope this helped
5 0
3 years ago
A small town surveyed 250 adults, 180 of whom were parents, about whether a park should be expanded. The results showed that 150
quester [9]

Answer:

Yes, the park should be expanded

Explanation:

180 adults said yes.

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70 people thought the park shouldn't be expanded, but there are more people who want the mark to expand.

8 0
2 years ago
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A drunkard executes a “random walk” in the following way: each minute he takes a step north or southm with probability 1/2 each,
valentina_108 [34]
Assume that a step to the north is in the positive direction and a step in the south is in the negative direction.

Then,

E(X_i)=50\left(\frac{1}{2}\right)-50\left(\frac{1}{2}\right)\\ \\=25-25=0

and

\sigma^2(X_i)=E(X_i^2)-E(X_i)^2 \\ \\ =50^2\left(\frac{1}{2}\right)+50^2\left(\frac{1}{2}\right)-0^2=2500\left(\frac{1}{2}\right)+2500\left(\frac{1}{2}\right)-0 \\ \\ =2500 \\ \\ \Rightarrow\sigma(X_i)=50

After 1 hour of independent steps,

E(X)=\sum_{i=1}^{60}E(X_i)=60(0)=0

and

\sigma^2(X)=\sum_{i=1}^{60}\sigma^2(X_i) \\  \\ =60(50)=300 \\  \\ \Rightarrow\sigma(X)=\sqrt{300}=17.32

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3 years ago
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